JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumDifferential Equations163× since 2002Let y=y(x)y = y(x)y=y(x) be the solution of the differential equation (x2+1)y′−2xy=(x4+2x2+1)cosx(x^2 + 1)y' - 2xy = (x^4 + 2x^2 + 1)\cos x(x2+1)y′−2xy=(x4+2x2+1)cosx, with y(0)=1y(0) = 1y(0)=1. Then ∫−33y(x) dx\displaystyle \int_{-3}^{3} y(x)\,dx∫−33y(x)dx is:AOption A. 24BOption B. 36COption C. 30DOption D. 18CheckSkip · show solution
